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Finding the Fourth Proportional to 667.30, 920.82 and 387.52

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Solution

The fourth proportional to 667.30, 920.82 and 387.52 is: 534.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.30 : 920.82 = 387.52 : x
  2. Step 2: Convert to fraction form
    667.30/920.82 = 387.52/x
  3. Step 3: Cross multiply
    667.30x = 920.82 × 387.52
  4. Step 4: Simplify right side
    667.30x = 356,836.17
  5. Step 5: Solve for x
    x = 356,836.17/667.30
  6. Step 6: Final answer
    x = 534.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.